Test Bank For Algebra & Trigonometry 4th Edition
Chapter 0 Review
Chapter 0 Review
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
List all the elements of B that belong to the given set.
1) B =
Integers 1) _______
A) { 8, -15} B) { 8, 0} C) { 8, -15, 0} D) { 8, 0, }
2) B =
Natural numbers 2) _______
A) { -22, 0, 3} B) { 3, 0} C) { 3} D)
3) B =
Real numbers 3) _______
A) B)
C) { 7, -17, 0} D)
4) B =
Rational numbers 4) _______
A) B) { }
C) D) { 11, 0}
5) B =
Irrational numbers 5) _______
1
,Test Bank For Algebra & Trigonometry 4th Edition
Chapter 0 Review
A) B) { , 0.1} C) D) { }
6) B = { 4, , -4, 0, ,- , 8.3, 16π, 0. 16 8 16 8 16 8...}
Integers 6) _______
A) { 4, -4, 0} B) { 4, 0} C) { 4, 0, } D) { 4, -4}
7) B = { 14, , -14, 0, , - , 2.1, 7π, 0. 7 4 7 4 7 4...}
Natural numbers 7) _______
A) { 14} B) { 14, 0} C) { -14, 0, 14} D)
8) B = { 5, , -15, 0, , , 0.27, -5π, 0. 9 9 9...}
Rational numbers 8) _______
A) B)
C) D)
9) B = { 2, , -24, 0, , , 0.56, -8π, 0. 25 25 25...}
Irrational numbers 9) _______
A) { , -8π, 0. 25 25 25...} B)
C) { , -8π} D) { }
Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed
infinite), write the set using set-builder notation, and write the set using interval notation.
10)
10) ______
A) half-open interval; {x| -3 < x ≤ 1}; ( -3, 1] B) half-open interval; {x| -3 ≤ x < 1}; [ -3, 1)
C) closed interval; {x| -3 ≤ x ≤ 1}; [ -3, 1] D) open interval; {x| -3 < x < 1}; ( -3, 1)
11)
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,Test Bank For Algebra & Trigonometry 4th Edition
Chapter 0 Review
11) ______
A) open interval; {x| -5 < x < -4}; ( -5, -4)
B) half-open interval; {x| -5 ≤ x < -4}; [ -5, -4)
C) closed interval; {x| -5 ≤ x ≤ -4}; [ -5, -4]
D) half-open interval; {x| -5 < x ≤ -4}; ( -5, -4]
12)
12) ______
A) closed interval; {x| 4 ≤ x ≤ 7}; [ 4, 7]B) half-open interval; {x| 4 ≤ x < 7}; [ 4, 7)
C) half-open interval; {x| 4 < x ≤ 7}; ( 4, 7] D) open interval; {x| 4 < x < 7}; ( 4, 7)
13)
13) ______
A) closed interval; {x| -7 ≤ x ≤ 1}; [ -7, 1] B) half-open interval; {x| -7 < x ≤ 1}; ( -7, 1]
C) open interval; {x| -7 < x < 1}; ( -7, 1)D) half-open interval; {x| -7 ≤ x < 1}; [ -7, 1)
14)
14) ______
A) closed infinite interval; {x|x ≤ 1}; (-∞, 1] B) open infinite interval; {x|x > 1}; ( 1, ∞)
C) closed infinite interval; {x|x ≥ 1}; [ 1, ∞) D) open infinite interval; {x|x < 1}; (-∞, 1)
15)
15) ______
A) closed infinite interval; {x|x ≤ -2}; (-∞, -2] B) closed infinite interval; {x|x ≥ -2}; [ -2, ∞)
C) open infinite interval; {x|x > -2}; ( -2, ∞) D) open infinite interval; {x|x < -2}; (-∞, -2)
16)
16) ______
A) open infinite interval; {x|x > -3}; ( -3, ∞)
B) closed infinite interval; {x|x ≥ -3}; [ -3, ∞)
C) open infinite interval; {x|x < -3}; (-∞, -3)
3
, Test Bank For Algebra & Trigonometry 4th Edition
Chapter 0 Review
D) closed infinite interval; {x|x ≤ -3}; (-∞, -3]
17)
17) ______
A) closed infinite interval; {x|x ≥ -1}; [ -1, ∞)
B) open infinite interval; {x|x > -1}; ( -1, ∞)
C) open infinite interval; {x|x < -1}; (-∞, -1)
D) closed infinite interval; {x|x ≤ -1}; (-∞, -1]
Write the interval in set-builder notation and graph the set on a number line.
18)
18) ______
A)
B)
C)
D)
19)
19) ______
A)
4
Chapter 0 Review
Chapter 0 Review
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
List all the elements of B that belong to the given set.
1) B =
Integers 1) _______
A) { 8, -15} B) { 8, 0} C) { 8, -15, 0} D) { 8, 0, }
2) B =
Natural numbers 2) _______
A) { -22, 0, 3} B) { 3, 0} C) { 3} D)
3) B =
Real numbers 3) _______
A) B)
C) { 7, -17, 0} D)
4) B =
Rational numbers 4) _______
A) B) { }
C) D) { 11, 0}
5) B =
Irrational numbers 5) _______
1
,Test Bank For Algebra & Trigonometry 4th Edition
Chapter 0 Review
A) B) { , 0.1} C) D) { }
6) B = { 4, , -4, 0, ,- , 8.3, 16π, 0. 16 8 16 8 16 8...}
Integers 6) _______
A) { 4, -4, 0} B) { 4, 0} C) { 4, 0, } D) { 4, -4}
7) B = { 14, , -14, 0, , - , 2.1, 7π, 0. 7 4 7 4 7 4...}
Natural numbers 7) _______
A) { 14} B) { 14, 0} C) { -14, 0, 14} D)
8) B = { 5, , -15, 0, , , 0.27, -5π, 0. 9 9 9...}
Rational numbers 8) _______
A) B)
C) D)
9) B = { 2, , -24, 0, , , 0.56, -8π, 0. 25 25 25...}
Irrational numbers 9) _______
A) { , -8π, 0. 25 25 25...} B)
C) { , -8π} D) { }
Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed
infinite), write the set using set-builder notation, and write the set using interval notation.
10)
10) ______
A) half-open interval; {x| -3 < x ≤ 1}; ( -3, 1] B) half-open interval; {x| -3 ≤ x < 1}; [ -3, 1)
C) closed interval; {x| -3 ≤ x ≤ 1}; [ -3, 1] D) open interval; {x| -3 < x < 1}; ( -3, 1)
11)
2
,Test Bank For Algebra & Trigonometry 4th Edition
Chapter 0 Review
11) ______
A) open interval; {x| -5 < x < -4}; ( -5, -4)
B) half-open interval; {x| -5 ≤ x < -4}; [ -5, -4)
C) closed interval; {x| -5 ≤ x ≤ -4}; [ -5, -4]
D) half-open interval; {x| -5 < x ≤ -4}; ( -5, -4]
12)
12) ______
A) closed interval; {x| 4 ≤ x ≤ 7}; [ 4, 7]B) half-open interval; {x| 4 ≤ x < 7}; [ 4, 7)
C) half-open interval; {x| 4 < x ≤ 7}; ( 4, 7] D) open interval; {x| 4 < x < 7}; ( 4, 7)
13)
13) ______
A) closed interval; {x| -7 ≤ x ≤ 1}; [ -7, 1] B) half-open interval; {x| -7 < x ≤ 1}; ( -7, 1]
C) open interval; {x| -7 < x < 1}; ( -7, 1)D) half-open interval; {x| -7 ≤ x < 1}; [ -7, 1)
14)
14) ______
A) closed infinite interval; {x|x ≤ 1}; (-∞, 1] B) open infinite interval; {x|x > 1}; ( 1, ∞)
C) closed infinite interval; {x|x ≥ 1}; [ 1, ∞) D) open infinite interval; {x|x < 1}; (-∞, 1)
15)
15) ______
A) closed infinite interval; {x|x ≤ -2}; (-∞, -2] B) closed infinite interval; {x|x ≥ -2}; [ -2, ∞)
C) open infinite interval; {x|x > -2}; ( -2, ∞) D) open infinite interval; {x|x < -2}; (-∞, -2)
16)
16) ______
A) open infinite interval; {x|x > -3}; ( -3, ∞)
B) closed infinite interval; {x|x ≥ -3}; [ -3, ∞)
C) open infinite interval; {x|x < -3}; (-∞, -3)
3
, Test Bank For Algebra & Trigonometry 4th Edition
Chapter 0 Review
D) closed infinite interval; {x|x ≤ -3}; (-∞, -3]
17)
17) ______
A) closed infinite interval; {x|x ≥ -1}; [ -1, ∞)
B) open infinite interval; {x|x > -1}; ( -1, ∞)
C) open infinite interval; {x|x < -1}; (-∞, -1)
D) closed infinite interval; {x|x ≤ -1}; (-∞, -1]
Write the interval in set-builder notation and graph the set on a number line.
18)
18) ______
A)
B)
C)
D)
19)
19) ______
A)
4